A394315 Numbers k such that sigma(k) = psi(k) + pi(k) + Omega(k)^6.

1, 6092, 65187, 143253, 176751, 18785650, 25548350, 72396625, 507733590, 686593375, 1138786375, 1325580025, 2083558890, 2335420375, 2727499625

Offset

1,2

Links

Table of n, a(n) for n=1..15.

Example

6092 is a term since sigma(6092) = 10668 = 9144 + 795 + 3^6 = psi(6092) + pi(6092) + Omega(6092)^6.

Prog

(PARI) dedpsi(f) = prod(k = 1, #f~, (f[k, 1]+1) * f[k, 1]^(f[k, 2]-1));
list(lim) = {my(q = 2, m = 0, f); print1(1, ", "); forprime(p = 3, lim, m++; for(k = q, p-1, f = factor(k); if(sigma(f) == dedpsi(f) + m + bigomega(f)^6, print1(k, ", "))); q = p); } \\ Amiram Eldar, Mar 15 2026

Crossrefs

Cf. A000203, A000720, A001615, A001222, A393162, A393163, A393123, A394260, A394312.

Sequence in context: A204966 A252329 A156200 * A236824 A211929 A251994

Adjacent sequences: A394312 A394313 A394314 * A394316 A394317 A394318

Keyword

nonn,hard,more

Author

S. I. Dimitrov, Mar 15 2026

Extensions

a(11)-a(15) from Amiram Eldar, Mar 15 2026

Status

approved